88409327552 has 224 divisors, whose sum is σ = 224379617280. Its totient is φ = 33620520960.

The previous prime is 88409327537. The next prime is 88409327569. The reversal of 88409327552 is 25572390488.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 88409327494 and 88409327503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28343849 + ... + 28346967.

It is an arithmetic number, because the mean of its divisors is an integer number (1001694720).

Almost surely, 2^88409327552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88409327552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112189808640).

88409327552 is an abundant number, since it is smaller than the sum of its proper divisors (135970289728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88409327552 is a wasteful number, since it uses less digits than its factorization.

88409327552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 53.

The spelling of 88409327552 in words is "eighty-eight billion, four hundred nine million, three hundred twenty-seven thousand, five hundred fifty-two".